26946143400 has 576 divisors, whose sum is σ = 96181344000. Its totient is φ = 6230681600.

The previous prime is 26946143377. The next prime is 26946143401. The reversal of 26946143400 is 434164962.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26946143401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 180846526 + ... + 180846674.

It is an arithmetic number, because the mean of its divisors is an integer number (166981500).

Almost surely, 2^26946143400 is an apocalyptic number.

26946143400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26946143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48090672000).

26946143400 is an abundant number, since it is smaller than the sum of its proper divisors (69235200600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

26946143400 is a wasteful number, since it uses less digits than its factorization.

26946143400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 26946143400 in words is "twenty-six billion, nine hundred forty-six million, one hundred forty-three thousand, four hundred".